Question

1) for which value(s) of p, will the lines
represented by the following pair of lineas epns
be parallel 3x-y-5 =0
6x-2y-p =o​

Answer 1

Answer:

Given equation,

3x+y+5=0,6x+2y+p=0

If the equations a

1

x+b

1

y+c

1

=0a

2

x+b

2

y+c

2

=0 represent parallel lines, then

a

2

a

1

=

b

2

b

1



=

c

2

c

1

So, from given equations,

a

2

a

1

=

6

3

,

b

2

b

1

=

2

1

,

c

2

c

1

=

p

5

,

∵

a

2

a

1

=

b

2

b

1



=

c

2

c

1

,

So,

p

5



=

2

1

p



=10

∵p∈R−{10}, to represent parallel lines.

Answer 2

Answer:

10

Step-by-step explanation:

3x-y-5 =0

6x-2y-p =0 ( 3x-y = 5)

so

3x-y-5 = 6x-2y-p

-y+2y-5 =6x-3x-p

y-5 = 3x-p

-5+p = 3x - y

-5+p = 5

p = 5+5

p = 10